Runcinated 6-orthoplex Edit Alternate names Edit Small prismatohexacontatetrapeton (spog) (Jonathan Bowers)[1] Images Edit Runcicantellated 6-orthoplex Edit Alternate names Edit Prismatorhombated hexacontatetrapeton (prog) (Jonathan Bowers)[2] Images Edit Runcitruncated 6-orthoplex Edit Alternate names Edit Prismatotruncated hexacontatetrapeton (potag) (Jonathan Bowers)[3] Images Edit Biruncicantellated 6-cube Edit Alternate names Edit Great biprismated hexeractihexacontatetrapeton (gobpoxog) (Jonathan Bowers)[4] Images Edit Related polytopes Edit These polytopes are from a set of 63 uniform 6-polytopes generated from the B6 Coxeter plane , including the regular 6-cube or 6-orthoplex .
B6 polytopes β6 t1 β6 t2 β6 t2 γ6 t1 γ6 γ6 t0,1 β6 t0,2 β6 t1,2 β6 t0,3 β6 t1,3 β6 t2,3 γ6 t0,4 β6 t1,4 γ6 t1,3 γ6 t1,2 γ6 t0,5 γ6 t0,4 γ6 t0,3 γ6 t0,2 γ6 t0,1 γ6 t0,1,2 β6 t0,1,3 β6 t0,2,3 β6 t1,2,3 β6 t0,1,4 β6 t0,2,4 β6 t1,2,4 β6 t0,3,4 β6 t1,2,4 γ6 t1,2,3 γ6 t0,1,5 β6 t0,2,5 β6 t0,3,4 γ6 t0,2,5 γ6 t0,2,4 γ6 t0,2,3 γ6 t0,1,5 γ6 t0,1,4 γ6 t0,1,3 γ6 t0,1,2 γ6 t0,1,2,3 β6 t0,1,2,4 β6 t0,1,3,4 β6 t0,2,3,4 β6 t1,2,3,4 γ6 t0,1,2,5 β6 t0,1,3,5 β6 t0,2,3,5 γ6 t0,2,3,4 γ6 t0,1,4,5 γ6 t0,1,3,5 γ6 t0,1,3,4 γ6 t0,1,2,5 γ6 t0,1,2,4 γ6 t0,1,2,3 γ6 t0,1,2,3,4 β6 t0,1,2,3,5 β6 t0,1,2,4,5 β6 t0,1,2,4,5 γ6 t0,1,2,3,5 γ6 t0,1,2,3,4 γ6 t0,1,2,3,4,5 γ6
Notes Edit ^ Klitzing, (x3o3o3x3o4o - spog) ^ Klitzing, (x3o3x3x3o4o - prog) ^ Klitzing, (x3x3o3x3o4o - potag) ^ Klitzing, (o3x3x3x3x4o - gobpoxog) References Edit H.S.M. Coxeter : H.S.M. Coxeter, Regular Polytopes , 3rd Edition, Dover New York, 1973 Kaleidoscopes: Selected Writings of H.S.M. Coxeter , edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, ISBN 978-0-471-01003-6 [1] (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I , [Math. Zeit. 46 (1940) 380-407, MR 2,10] (Paper 23) H.S.M. Coxeter, Regular and Semi-Regular Polytopes II , [Math. Zeit. 188 (1985) 559-591] (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III , [Math. Zeit. 200 (1988) 3-45] Norman Johnson Uniform Polytopes , Manuscript (1991) N.W. Johnson: The Theory of Uniform Polytopes and Honeycombs , Ph.D. Klitzing, Richard. "6D uniform polytopes (polypeta)". External links Edit
runcinated, orthoplexes, cube, runcinated, cube, biruncinated, cube, runcinated, orthoplex, orthoplexruncitruncated, cube, biruncitruncated, cube, runcicantellated, orthoplex, runcicantellated, cube, biruncitruncated, orthoplexruncitruncated, orthoplex, runcic. 6 cube Runcinated 6 cube Biruncinated 6 cube Runcinated 6 orthoplex 6 orthoplexRuncitruncated 6 cube Biruncitruncated 6 cube Runcicantellated 6 orthoplex Runcicantellated 6 cube Biruncitruncated 6 orthoplexRuncitruncated 6 orthoplex Runcicantitruncated 6 cube Biruncicantitruncated 6 cube Runcicantitruncated 6 orthoplexOrthogonal projections in BC6 Coxeter planeIn six dimensional geometry a runcinated 6 orthplex is a convex uniform 6 polytope with 3rd order truncations runcination of the regular 6 orthoplex There are 12 unique runcinations of the 6 orthoplex with permutations of truncations and cantellations Half are expressed relative to the dual 6 cube Contents 1 Runcinated 6 orthoplex 1 1 Alternate names 1 2 Images 2 Runcicantellated 6 orthoplex 2 1 Alternate names 2 2 Images 3 Runcitruncated 6 orthoplex 3 1 Alternate names 3 2 Images 4 Biruncicantellated 6 cube 4 1 Alternate names 4 2 Images 5 Related polytopes 6 Notes 7 References 8 External linksRuncinated 6 orthoplex EditAlternate names Edit Small prismatohexacontatetrapeton spog Jonathan Bowers 1 Images Edit orthographic projections Coxeter plane B6 B5 B4Graph nbsp nbsp nbsp Dihedral symmetry 12 10 8 Coxeter plane B3 B2Graph nbsp nbsp Dihedral symmetry 6 4 Coxeter plane A5 A3Graph nbsp nbsp Dihedral symmetry 6 4 Runcicantellated 6 orthoplex EditAlternate names Edit Prismatorhombated hexacontatetrapeton prog Jonathan Bowers 2 Images Edit orthographic projections Coxeter plane B6 B5 B4Graph nbsp nbsp nbsp Dihedral symmetry 12 10 8 Coxeter plane B3 B2Graph nbsp nbsp Dihedral symmetry 6 4 Coxeter plane A5 A3Graph nbsp nbsp Dihedral symmetry 6 4 Runcitruncated 6 orthoplex EditAlternate names Edit Prismatotruncated hexacontatetrapeton potag Jonathan Bowers 3 Images Edit orthographic projections Coxeter plane B6 B5 B4Graph nbsp nbsp nbsp Dihedral symmetry 12 10 8 Coxeter plane B3 B2Graph nbsp nbsp Dihedral symmetry 6 4 Coxeter plane A5 A3Graph nbsp nbsp Dihedral symmetry 6 4 Biruncicantellated 6 cube EditAlternate names Edit Great biprismated hexeractihexacontatetrapeton gobpoxog Jonathan Bowers 4 Images Edit orthographic projections Coxeter plane B6 B5 B4Graph nbsp nbsp nbsp Dihedral symmetry 12 10 8 Coxeter plane B3 B2Graph nbsp nbsp Dihedral symmetry 6 4 Coxeter plane A5 A3Graph nbsp nbsp Dihedral symmetry 6 4 Related polytopes EditThese polytopes are from a set of 63 uniform 6 polytopes generated from the B6 Coxeter plane including the regular 6 cube or 6 orthoplex B6 polytopes nbsp b6 nbsp t1b6 nbsp t2b6 nbsp t2g6 nbsp t1g6 nbsp g6 nbsp t0 1b6 nbsp t0 2b6 nbsp t1 2b6 nbsp t0 3b6 nbsp t1 3b6 nbsp t2 3g6 nbsp t0 4b6 nbsp t1 4g6 nbsp t1 3g6 nbsp t1 2g6 nbsp t0 5g6 nbsp t0 4g6 nbsp t0 3g6 nbsp t0 2g6 nbsp t0 1g6 nbsp t0 1 2b6 nbsp t0 1 3b6 nbsp t0 2 3b6 nbsp t1 2 3b6 nbsp t0 1 4b6 nbsp t0 2 4b6 nbsp t1 2 4b6 nbsp t0 3 4b6 nbsp t1 2 4g6 nbsp t1 2 3g6 nbsp t0 1 5b6 nbsp t0 2 5b6 nbsp t0 3 4g6 nbsp t0 2 5g6 nbsp t0 2 4g6 nbsp t0 2 3g6 nbsp t0 1 5g6 nbsp t0 1 4g6 nbsp t0 1 3g6 nbsp t0 1 2g6 nbsp t0 1 2 3b6 nbsp t0 1 2 4b6 nbsp t0 1 3 4b6 nbsp t0 2 3 4b6 nbsp t1 2 3 4g6 nbsp t0 1 2 5b6 nbsp t0 1 3 5b6 nbsp t0 2 3 5g6 nbsp t0 2 3 4g6 nbsp t0 1 4 5g6 nbsp t0 1 3 5g6 nbsp t0 1 3 4g6 nbsp t0 1 2 5g6 nbsp t0 1 2 4g6 nbsp t0 1 2 3g6 nbsp t0 1 2 3 4b6 nbsp t0 1 2 3 5b6 nbsp t0 1 2 4 5b6 nbsp t0 1 2 4 5g6 nbsp t0 1 2 3 5g6 nbsp t0 1 2 3 4g6 nbsp t0 1 2 3 4 5g6Notes Edit Klitzing x3o3o3x3o4o spog Klitzing x3o3x3x3o4o prog Klitzing x3x3o3x3o4o potag Klitzing o3x3x3x3x4o gobpoxog References EditH S M Coxeter H S M Coxeter Regular Polytopes 3rd Edition Dover New York 1973 Kaleidoscopes Selected Writings of H S M Coxeter edited by F Arthur Sherk Peter McMullen Anthony C Thompson Asia Ivic Weiss Wiley Interscience Publication 1995 ISBN 978 0 471 01003 6 1 Paper 22 H S M Coxeter Regular and Semi Regular Polytopes I Math Zeit 46 1940 380 407 MR 2 10 Paper 23 H S M Coxeter Regular and Semi Regular Polytopes II Math Zeit 188 1985 559 591 Paper 24 H S M Coxeter Regular and Semi Regular Polytopes III Math Zeit 200 1988 3 45 Norman Johnson Uniform Polytopes Manuscript 1991 N W Johnson The Theory of Uniform Polytopes and Honeycombs Ph D Klitzing Richard 6D uniform polytopes polypeta x3o3o3x3o4o spog x3o3x3x3o4o prog x3x3o3x3o4o potag o3x3x3x3x4o gobpoxogExternal links EditWeisstein Eric W Hypercube MathWorld Polytopes of Various Dimensions Multi dimensional GlossaryvteFundamental convex regular and uniform polytopes in dimensions 2 10Family An Bn I2 p Dn E6 E7 E8 F4 G2 HnRegular polygon Triangle Square p gon Hexagon PentagonUniform polyhedron Tetrahedron Octahedron Cube Demicube Dodecahedron IcosahedronUniform polychoron Pentachoron 16 cell Tesseract Demitesseract 24 cell 120 cell 600 cellUniform 5 polytope 5 simplex 5 orthoplex 5 cube 5 demicubeUniform 6 polytope 6 simplex 6 orthoplex 6 cube 6 demicube 122 221Uniform 7 polytope 7 simplex 7 orthoplex 7 cube 7 demicube 132 231 321Uniform 8 polytope 8 simplex 8 orthoplex 8 cube 8 demicube 142 241 421Uniform 9 polytope 9 simplex 9 orthoplex 9 cube 9 demicubeUniform 10 polytope 10 simplex 10 orthoplex 10 cube 10 demicubeUniform n polytope n simplex n orthoplex n cube n demicube 1k2 2k1 k21 n pentagonal polytopeTopics Polytope families Regular polytope List of regular polytopes and compounds Retrieved from https en wikipedia org w index php title Runcinated 6 orthoplexes amp oldid 1148115755 Biruncitruncated 6 orthoplex, wikipedia, wiki , book, books, library,
article , read, download, free, free download, mp3, video, mp4, 3gp, jpg, jpeg, gif, png, picture, music, song, movie, book, game, games.